Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension

Details Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension

2003-01-15

arxiv.org/abs/cond-mat/0301253v2

Physical Review Letters 90, 197202 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

Title is a little changed. References are updated. To appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.90.197202

Using conformal perturbation theory, we show that for some classes of the one-dimensional quantum liquids that possess the Luttinger liquid fixed point in the low energy limit, the Drude weight at finite temperatures is non-vanishing, even when the system is {\it non-integrable} and the total current is not conserved. We also obtain the asymptotically exact low-temperature formula of the Drude weight for Heisenberg XXZ spin chains, which agrees quite well with recent numerical data.

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